Find the values (or value) of k that makes(s) the second polynomial a factor of the first
y^3-ky^2+11y-k
y-2

Question

Find the values (or value) of k that makes(s) the second polynomial a factor of the first 
y^3-ky^2+11y-k
y-2

accessdenied · Answer

d'oh, my reply didn't send.  ):

So, how do you determine whether a polynomial is a factor of another?

anonymous · Answer

I dont know...

apoorvk · Answer

you divide and see if it leaves no remainder. no remainder means its a factor!!

accessdenied · Answer

Well, we can check using division... if their remainder is 0, then the divisor is a factor of the dividend.

anonymous · Answer

Can you show me how to do it using long division please?? thank you...

slaaibak · Answer

set y = 2, then the poly = 0.

Solve for k.

anonymous · Answer

I did synthetic division with negative k in the two spots.  You will get a remainder as a function of k, set it to zero to find the correct value of k.

accessdenied · Answer

yeah, i would have used synthetic division, its easier to keep organized with.  :P

anonymous · Answer

but I was wondering how you would do long division in this problem because our professor didn't teach us synthetic division

accessdenied · Answer

I think slaaibak's approach is much easier, in that case.
here's how it'd work out in long division (might be hard to read, was all written by mouse)


|dw:1332705503258:dw|